Question

Verify: (1) x³ +y³= (x+y) (x²-xy+y²)
2:- x³-y³ =(x-y) (x²+xy+y²)​

Answer 1

Answer:

(1) LHS = RHS

(2) LHS = RHS

Step-by-step explanation:

(1) x³ +y³= (x+y) (x²-xy+y²)

RHS

= (x+y) (x²-xy+y²)

=x(x²-xy+y²) + y(x²-xy+y²)

= x³ - x²y + xy² + yx² - xy² + y³

= x³ - x²y + x²y + xy² - xy² + y³

= x³ + 0 + 0 + y³

= x³ + y³ = LHS

LHS = RHS

Hence Verified

(2) x³-y³ =(x-y) (x²+xy+y²)​

RHS

= (x-y) (x²+xy+y²)​

= x(x²+xy+y²)​ - y(x²+xy+y²)​

= x³ + x²y + xy² - yx² - xy² - y³

= x³ + x²y - x²y + xy² - xy² - y³

= x³ + 0 + 0 - y³

= x³ - y³ = LHS

LHS = RHS

Hence Verified